2010121010001 has 48 divisors (see below), whose sum is σ = 3324640999680. Its totient is φ = 1159361441280.

The previous prime is 2010121009961. The next prime is 2010121010017. The reversal of 2010121010001 is 1000101210102.

It is a happy number.

It is not a de Polignac number, because 2010121010001 - 2¹⁷ = 2010120878929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2010121012001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1638895 + ... + 2589636.

It is an arithmetic number, because the mean of its divisors is an integer number (69263354160).

Almost surely, 2^{2010121010001} is an apocalyptic number.

It is an amenable number.

2010121010001 is a deficient number, since it is larger than the sum of its proper divisors (1314519989679).

2010121010001 is a wasteful number, since it uses less digits than its factorization.

2010121010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4228806 (or 4228803 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2010121010001 its reverse (1000101210102), we get a palindrome (3010222220103).

The spelling of 2010121010001 in words is "two trillion, ten billion, one hundred twenty-one million, ten thousand, one".